Theses and Dissertations from UMD

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New submissions to the thesis/dissertation collections are added automatically as they are received from the Graduate School. Currently, the Graduate School deposits all theses and dissertations from a given semester after the official graduation date. This means that there may be up to a 4 month delay in the appearance of a give thesis/dissertation in DRUM

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Author: search.filters.author.Duggan, Andrew SSubject: search.filters.subject.Parvaresh-Vardy codes

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    Performance Analysis of Algebraic Soft-Decision Decoding of Reed-Solomon Codes
    (2006-08-28) Duggan, Andrew S; Barg, Alexander; Electrical Engineering; Digital Repository at the University of Maryland; University of Maryland (College Park, Md.)
    We investigate the decoding region for Algebraic Soft-Decision Decoding (ASD) of Reed-Solomon codes in a discrete, memoryless, additive-noise channel. An expression is derived for the error radius within which the soft-decision decoder produces a list that contains the transmitted codeword. The error radius for ASD is shown to be larger than that of Guruswami-Sudan hard-decision decoding for a subset of low-rate codes. We then present an upper bound for ASD's probability of error, where an error is defined as the event that the decoder selects an erroneous codeword from its list. This new definition gives a more accurate bound on the probability of error of ASD. We also derive an estimate of the error-correction radius under multivariate interpolation decoding of a recent generalization of Reed-Solomon codes by F. Parvaresh and A. Vardy.